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Finding the Fourth Proportional to 6,866.64, 10,299.60 and 2,424

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Solution

The fourth proportional to 6,866.64, 10,299.60 and 2,424 is: 3,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.64 : 10,299.60 = 2,424 : x
  2. Step 2: Convert to fraction form
    6,866.64/10,299.60 = 2,424/x
  3. Step 3: Cross multiply
    6,866.64x = 10,299.60 × 2,424
  4. Step 4: Simplify right side
    6,866.64x = 24,966,230.40
  5. Step 5: Solve for x
    x = 24,966,230.40/6,866.64
  6. Step 6: Final answer
    x = 3,635.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.